Deformation twinning and detwinning in extruded Mg-4Al: In-situ experiment and crystal plasticity simulation

Yaghoobi, Mohammadreza; Chen, Zhe; Murphy-Leonard, Aeriel D.; Sundararaghavan, Veera; Daly, Samantha; Allison, John E.

doi:10.1016/j.ijplas.2022.103345

Title: Deformation twinning and detwinning in extruded Mg-4Al: In-situ experiment and crystal plasticity simulation

Abstract

Deformation twinning and detwinning in extruded Mg-4Al were investigated using in-situ SEM-DIC experiments and crystal plasticity finite element (CPFE) simulation. In this study, the in-situ SEM-DIC method was used to provide a unique set of data including twin/detwin characteristics and twin area fraction in addition to strain maps. A statistical analysis of the activation of twin variants and twin area fraction during both twinning and detwinning was conducted. A strong correlation was found between twin growth/shrinkage and the Schmid Factor (SF) for individual twin variants Higher twin SF during loading and unloading led to higher twin growth and shrinkage, respectively. However, after the applied compressive strain was removed, the pattern of the twin area fractions of the residual twin variants versus their nominal SFs did not follow the trend observed at the maximum compressive strain. Using a systematic methodology and an advanced twin/detwin model, the PRISMS-Plasticity CPFE simulation was calibrated using experimentally determined stress versus strain and twin area fraction versus strain information. A comprehensive evaluation of the CPFE model was conducted to determine its ability to capture the statistics of twin variants activation and twin area fraction. CPFE accurately captured the statistical aspects of both twinning and detwinning. Finally,more »« less

Authors:

^[1];

^[2]; Murphy-Leonard, Aeriel D. ^[3]; Sundararaghavan, Veera ^[1]; Daly, Samantha ^[4]; Allison, John E. ^[1]

Univ. of Michigan, Ann Arbor, MI (United States)
Univ. of Michigan, Ann Arbor, MI (United States); Univ. of California, Santa Barbara, CA (United States)
Univ. of Michigan, Ann Arbor, MI (United States); The Ohio State Univ., Columbus, OH (United States)
Univ. of California, Santa Barbara, CA (United States)

Publication Date:: Tue May 24 00:00:00 EDT 2022

Research Org.:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE); National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1977215

Alternate Identifier(s):: OSTI ID: 1874704

Grant/Contract Number:: SC0008637; ACI-1548562; -SC0008637

Resource Type:: Accepted Manuscript

Journal Name:: International Journal of Plasticity

Additional Journal Information:: Journal Volume: 155; Journal Issue: C; Journal ID: ISSN 0749-6419

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; Engineering; Materials Science; Mechanics; Twinning; Detwinning; Digital image correlation; Crystal plasticity finite element; PRISMS-Plasticity; Magnesium

Citation Formats


                    Yaghoobi, Mohammadreza, Chen, Zhe, Murphy-Leonard, Aeriel D., Sundararaghavan, Veera, Daly, Samantha, and Allison, John E. Deformation twinning and detwinning in extruded Mg-4Al: In-situ experiment and crystal plasticity simulation.  United States: N. p., 2022. 
Web.  doi:10.1016/j.ijplas.2022.103345.

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                    Yaghoobi, Mohammadreza, Chen, Zhe, Murphy-Leonard, Aeriel D., Sundararaghavan, Veera, Daly, Samantha, & Allison, John E. Deformation twinning and detwinning in extruded Mg-4Al: In-situ experiment and crystal plasticity simulation.  United States.  https://doi.org/10.1016/j.ijplas.2022.103345

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                    Yaghoobi, Mohammadreza, Chen, Zhe, Murphy-Leonard, Aeriel D., Sundararaghavan, Veera, Daly, Samantha, and Allison, John E. Tue .  
"Deformation twinning and detwinning in extruded Mg-4Al: In-situ experiment and crystal plasticity simulation".  United States.  https://doi.org/10.1016/j.ijplas.2022.103345.  https://www.osti.gov/servlets/purl/1977215.

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@article{osti_1977215,

  title        = {Deformation twinning and detwinning in extruded Mg-4Al: In-situ experiment and crystal plasticity simulation},

  author       = {Yaghoobi, Mohammadreza and Chen, Zhe and Murphy-Leonard, Aeriel D. and Sundararaghavan, Veera and Daly, Samantha and Allison, John E.},

  abstractNote = {Deformation twinning and detwinning in extruded Mg-4Al were investigated using in-situ SEM-DIC experiments and crystal plasticity finite element (CPFE) simulation. In this study, the in-situ SEM-DIC method was used to provide a unique set of data including twin/detwin characteristics and twin area fraction in addition to strain maps. A statistical analysis of the activation of twin variants and twin area fraction during both twinning and detwinning was conducted. A strong correlation was found between twin growth/shrinkage and the Schmid Factor (SF) for individual twin variants Higher twin SF during loading and unloading led to higher twin growth and shrinkage, respectively. However, after the applied compressive strain was removed, the pattern of the twin area fractions of the residual twin variants versus their nominal SFs did not follow the trend observed at the maximum compressive strain. Using a systematic methodology and an advanced twin/detwin model, the PRISMS-Plasticity CPFE simulation was calibrated using experimentally determined stress versus strain and twin area fraction versus strain information. A comprehensive evaluation of the CPFE model was conducted to determine its ability to capture the statistics of twin variants activation and twin area fraction. CPFE accurately captured the statistical aspects of both twinning and detwinning. Finally, it also predicted the first dominant twin variant for 47.5% of the grains and at least one of the two dominant twin variants for 80% of the grains at maximum compressive strain.},

  doi          = {10.1016/j.ijplas.2022.103345},

  journal      = {International Journal of Plasticity},

  number       = C,

  volume       = 155,

  place        = {United States},

  year         = {Tue May 24 00:00:00 EDT 2022},

  month        = {Tue May 24 00:00:00 EDT 2022}

}

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A constitutive model for hcp materials deforming by slip and twinning
journal, October 2003

Staroselsky, A.; Anand, L.
International Journal of Plasticity, Vol. 19, Issue 10
DOI: 10.1016/S0749-6419(03)00039-1

A crystal plasticity model for hexagonal close packed (HCP) crystals including twinning and de-twinning mechanisms
journal, October 2013

Wang, H.; Wu, P. D.; Wang, J.
International Journal of Plasticity, Vol. 49
DOI: 10.1016/j.ijplas.2013.02.016

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Highlights: • Number of twin variants under compression along ED is dependent on grain orientation. • Tension after pre-compression results in low-SF twinning and secondary twinning. • Secondary twinning is facilitated by increasing pre-compression. • Sub-grains due to twinning enhance material strength. - Abstract: The microstructure evolution of extruded pure polycrystalline magnesium under compression followed by subsequent tension in ambient air was investigated. Solid round dog-bone shaped specimens were compressed along the extrusion direction (ED) to − 7.3% and − 12.8% true strains, respectively, and then tensioned along the ED to failure. Electron backscatter diffraction (EBSD) was used to examinemore »« less
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Title: Deformation twinning and detwinning in extruded Mg-4Al: In-situ experiment and crystal plasticity simulation

Abstract

Citation Formats

Characterizing microscale deformation mechanisms and macroscopic tensile properties of a high strength magnesium rare-earth alloy: A combined experimental and crystal plasticity approach journal, March 2020

Crystal Plasticity Simulation of Magnesium and Its Alloys: A Review of Recent Advances journal, April 2021

Deformation of magnesium single crystals by nonbasal slip journal, April 1957

Effect of microstructure on the nucleation of deformation twins in polycrystalline high-purity magnesium: A multi-scale modeling study journal, May 2011

(1¯012) Twinning nucleation mechanisms in hexagonal-close-packed crystals journal, October 2009

Internal strain and texture evolution during deformation twinning in magnesium journal, June 2005

Multiscale modeling of twinning and detwinning behavior of HCP polycrystals journal, April 2020

Controlled Nucleation for the Regulation of the Particle Size in Monodisperse Gold Suspensions journal, January 1973

Modeling inelastic behavior of magnesium alloys during cyclic loading–unloading journal, August 2013

Roles of deformation twinning and dislocation slip in the fatigue failure mechanism of AZ31 Mg alloys journal, October 2010

Incorporation of deformation twinning in crystal plasticity models journal, February 1998

Stochastic modeling of twin nucleation in polycrystals: An application in hexagonal close-packed metals journal, May 2014

Study of the mechanical properties of Mg-7.7at.% Al by in-situ neutron diffraction journal, July 1999

The Effects of Microstructure on Deformation Twinning in Mg WE43 journal, January 2021

In-situ X-ray diffraction studies of slip and twinning in the presence of precipitates in AZ91 alloy journal, October 2016

$$\left\{ {10\bar 12} \right\}$$ twinning behavior in magnesium single crystal journal, September 2013

Deformation twinning mechanisms from bimetal interfaces as revealed by in situ straining in the TEM journal, September 2012

Solid solution strengthening of magnesium single crystals—ii the effect of solute on the ease of prismatic slip journal, November 1969

Low cycle fatigue of a rare-earth containing extruded magnesium alloy journal, July 2013

In situ neutron diffraction investigation of deformation twinning and pseudoelastic-like behaviour of extruded AZ31 magnesium alloy journal, June 2009

Twinning–detwinning behavior during the strain-controlled low-cycle fatigue testing of a wrought magnesium alloy, ZK60A journal, February 2008

An integrated crystal plasticity–phase field model for spatially resolved twin nucleation, propagation, and growth in hexagonal materials journal, July 2018

Effect of temperature and shear direction on yield stress by {11 $$\bar 2$$ 2}〈 $$\overline {11} $$ 23〉 slip in HCP metals23〉 slip in HCP metals journal, March 2002

Automated identification of deformation twin systems in Mg WE43 from SEM DIC journal, November 2020

The effects of texture and extension twinning on the low-cycle fatigue behavior of a rolled magnesium alloy, AZ31B journal, October 2010

Nucleation and stability of twins in hcp metals journal, July 2008

Onset of detwinning in Mg-3Al-1Zn alloy: A synchrotron-based X-ray diffraction study journal, January 2021

Internal stress relaxation and load redistribution during the twinning–detwinning-dominated cyclic deformation of a wrought magnesium alloy, ZK60A journal, August 2008

Quantitative study of the effect of grain boundary parameters on the slip system level Hall-Petch slope for basal slip system in Mg-4Al journal, November 2020

Multiscale deformation heterogeneity in twinning magnesium investigated with in situ image correlation journal, May 2014

A new mechanism for twin growth in Mg alloys journal, December 2014

A phase-field model of twinning and detwinning coupled with dislocation-based crystal plasticity for HCP metals journal, December 2014

Simulation of the rolling and shear texture of brass by the Taylor theory adapted for mechanical twinning journal, April 1978

Effect of twinning and detwinning on inelastic behavior during unloading in a magnesium alloy sheet journal, October 2013

Solute strengthening of twinning dislocations in Mg alloys journal, November 2014

Modeling twinning and detwinning behavior of Mg alloy ZK60A during monotonic and cyclic loading journal, February 2015

Cyclic behavior of extruded magnesium: Experimental, microstructural and numerical approach journal, December 2011

PRISMS-Plasticity: An open-source crystal plasticity finite element software journal, November 2019

Strain-controlled low cycle fatigue properties of a rare-earth containing ZEK100 magnesium alloy journal, February 2015

High-Resolution Deformation Mapping Across Large Fields of View Using Scanning Electron Microscopy and Digital Image Correlation journal, August 2018

Deformation twin identification in magnesium through clustering and computer vision journal, October 2018

On the Nonbasal Slip in Magnesium Crystals journal, January 1964

Investigation of deformation dynamics in a wrought magnesium alloy journal, November 2014

Statistical analyses of deformation twinning in magnesium journal, May 2010

Etude en microscopie electronique du glissement pyramidal {1122} 〈1123〉 dans le magnesium journal, June 1972

The roles of grain boundary dislocations and disclinations in the nucleation of {102} twinning journal, January 2014

Digital Image Correlation under Scanning Electron Microscopy: Methodology and Validation journal, July 2013

A polycrystal based numerical investigation on the temperature dependence of slip resistance and texture evolution in magnesium alloy AZ31B journal, April 2014

Incorporation of Solid Solution Alloying Effects into Polycrystal Modeling of Mg Alloys journal, November 2010

Evolution of stress in individual grains and twins in a magnesium alloy aggregate journal, July 2009

Incorporation of twinning into a crystal plasticity finite element model: Evolution of lattice strains and texture in Zircaloy-2 journal, November 2011

On the deformation twinning of Mg AZ31B: A three-dimensional synchrotron X-ray diffraction experiment and crystal plasticity finite element model journal, July 2015

Numerical investigation of the influence of twinning/detwinning on fatigue crack initiation in AZ31 magnesium alloy journal, April 2019

The effect of twin–twin interactions on the nucleation and propagation of twinning in magnesium journal, June 2013

In situ analysis of deformation twins within a magnesium polycrystal: (II) twin growth journal, April 2019

Deformation twinning journal, January 1995

Enhanced deformation mechanisms by anisotropic plasticity in polycrystalline Mg alloys at room temperature journal, July 2005

Modeling texture, twinning and hardening evolution during deformation of hexagonal materials journal, April 2007

Quantification of cyclic twinning-detwinning behavior during low-cycle fatigue of pure magnesium using high energy X-ray diffraction journal, August 2019

An experimental study of cyclic deformation of extruded AZ61A magnesium alloy journal, May 2011

Fatigue damage development in pure polycrystalline magnesium under cyclic tension–compression loading journal, September 2011

Characterization and modeling of { 10 1 ¯ 2 } twin banding in magnesium journal, January 2020

Low cycle fatigue properties of an extruded AZ31 magnesium alloy journal, April 2009

Crystal-plasticity finite-element analysis of anisotropic deformation behavior in a commercially pure titanium Grade 1 sheet journal, April 2017

Twinning–detwinning behavior during fatigue-crack propagation in a wrought magnesium alloy AZ31B journal, October 2012

First-principles data for solid-solution strengthening of magnesium: From geometry and chemistry to properties journal, October 2010

Unraveling cyclic deformation mechanisms of a rolled magnesium alloy using in situ neutron diffraction journal, February 2015

Substitutional solution hardening of magnesium single crystals journal, April 1972

Continuum modeling of the response of a Mg alloy AZ31 rolled sheet during uniaxial deformation journal, November 2011

A model for texture development dominated by deformation twinning: Application to zirconium alloys journal, November 1991

Phenomenological crystal plasticity modeling and detailed micromechanical investigations of pure magnesium journal, May 2012

Using synchrotron radiation to improve understanding of deformation of polycrystalline metals by measuring, modelling and publishing 4D information journal, August 2019

{112̄2}〈23〉 Slip system in magnesium journal, July 1973

A constitutive model of twinning and detwinning for hexagonal close packed polycrystals journal, October 2012

Modeling the effect of twinning and detwinning during strain-path changes of magnesium alloy AZ31 journal, May 2009

Crystal Plasticity Finite Element Modeling of Extension Twinning in WE43 Mg Alloys: Calibration and Validation journal, September 2021

Effect of pre-existing twinning on strain localization during deformation of a magnesium alloy journal, December 2017

Characterizing microscale deformation mechanisms and macroscopic tensile properties of a high strength magnesium rare-earth alloy: A combined experimental and crystal plasticity approach
journal, March 2020

Crystal Plasticity Simulation of Magnesium and Its Alloys: A Review of Recent Advances
journal, April 2021

Deformation of magnesium single crystals by nonbasal slip
journal, April 1957

Effect of microstructure on the nucleation of deformation twins in polycrystalline high-purity magnesium: A multi-scale modeling study
journal, May 2011

(1¯012) Twinning nucleation mechanisms in hexagonal-close-packed crystals
journal, October 2009

Internal strain and texture evolution during deformation twinning in magnesium
journal, June 2005

Multiscale modeling of twinning and detwinning behavior of HCP polycrystals
journal, April 2020

Controlled Nucleation for the Regulation of the Particle Size in Monodisperse Gold Suspensions
journal, January 1973

Modeling inelastic behavior of magnesium alloys during cyclic loading–unloading
journal, August 2013

Roles of deformation twinning and dislocation slip in the fatigue failure mechanism of AZ31 Mg alloys
journal, October 2010

Incorporation of deformation twinning in crystal plasticity models
journal, February 1998

Stochastic modeling of twin nucleation in polycrystals: An application in hexagonal close-packed metals
journal, May 2014

Study of the mechanical properties of Mg-7.7at.% Al by in-situ neutron diffraction
journal, July 1999

The Effects of Microstructure on Deformation Twinning in Mg WE43
journal, January 2021

In-situ X-ray diffraction studies of slip and twinning in the presence of precipitates in AZ91 alloy
journal, October 2016

$$\left\{ {10\bar 12} \right\}$$ twinning behavior in magnesium single crystal
journal, September 2013

Deformation twinning mechanisms from bimetal interfaces as revealed by in situ straining in the TEM
journal, September 2012

Solid solution strengthening of magnesium single crystals—ii the effect of solute on the ease of prismatic slip
journal, November 1969

Low cycle fatigue of a rare-earth containing extruded magnesium alloy
journal, July 2013

In situ neutron diffraction investigation of deformation twinning and pseudoelastic-like behaviour of extruded AZ31 magnesium alloy
journal, June 2009

Twinning–detwinning behavior during the strain-controlled low-cycle fatigue testing of a wrought magnesium alloy, ZK60A
journal, February 2008

An integrated crystal plasticity–phase field model for spatially resolved twin nucleation, propagation, and growth in hexagonal materials
journal, July 2018

Effect of temperature and shear direction on yield stress by {11 $$\bar 2$$ 2}〈 $$\overline {11} $$ 23〉 slip in HCP metals23〉 slip in HCP metals
journal, March 2002

Automated identification of deformation twin systems in Mg WE43 from SEM DIC
journal, November 2020

The effects of texture and extension twinning on the low-cycle fatigue behavior of a rolled magnesium alloy, AZ31B
journal, October 2010

Nucleation and stability of twins in hcp metals
journal, July 2008

Onset of detwinning in Mg-3Al-1Zn alloy: A synchrotron-based X-ray diffraction study
journal, January 2021

Internal stress relaxation and load redistribution during the twinning–detwinning-dominated cyclic deformation of a wrought magnesium alloy, ZK60A
journal, August 2008

Quantitative study of the effect of grain boundary parameters on the slip system level Hall-Petch slope for basal slip system in Mg-4Al
journal, November 2020

Multiscale deformation heterogeneity in twinning magnesium investigated with in situ image correlation
journal, May 2014

A new mechanism for twin growth in Mg alloys
journal, December 2014

A phase-field model of twinning and detwinning coupled with dislocation-based crystal plasticity for HCP metals
journal, December 2014

Simulation of the rolling and shear texture of brass by the Taylor theory adapted for mechanical twinning
journal, April 1978

Effect of twinning and detwinning on inelastic behavior during unloading in a magnesium alloy sheet
journal, October 2013

Solute strengthening of twinning dislocations in Mg alloys
journal, November 2014

Modeling twinning and detwinning behavior of Mg alloy ZK60A during monotonic and cyclic loading
journal, February 2015

Cyclic behavior of extruded magnesium: Experimental, microstructural and numerical approach
journal, December 2011

PRISMS-Plasticity: An open-source crystal plasticity finite element software
journal, November 2019

Strain-controlled low cycle fatigue properties of a rare-earth containing ZEK100 magnesium alloy
journal, February 2015

High-Resolution Deformation Mapping Across Large Fields of View Using Scanning Electron Microscopy and Digital Image Correlation
journal, August 2018

Deformation twin identification in magnesium through clustering and computer vision
journal, October 2018

On the Nonbasal Slip in Magnesium Crystals
journal, January 1964

Investigation of deformation dynamics in a wrought magnesium alloy
journal, November 2014

Statistical analyses of deformation twinning in magnesium
journal, May 2010

Etude en microscopie electronique du glissement pyramidal {1122} 〈1123〉 dans le magnesium
journal, June 1972

The roles of grain boundary dislocations and disclinations in the nucleation of {102} twinning
journal, January 2014

Digital Image Correlation under Scanning Electron Microscopy: Methodology and Validation
journal, July 2013

A polycrystal based numerical investigation on the temperature dependence of slip resistance and texture evolution in magnesium alloy AZ31B
journal, April 2014

Incorporation of Solid Solution Alloying Effects into Polycrystal Modeling of Mg Alloys
journal, November 2010

Evolution of stress in individual grains and twins in a magnesium alloy aggregate
journal, July 2009

Incorporation of twinning into a crystal plasticity finite element model: Evolution of lattice strains and texture in Zircaloy-2
journal, November 2011

On the deformation twinning of Mg AZ31B: A three-dimensional synchrotron X-ray diffraction experiment and crystal plasticity finite element model
journal, July 2015

Numerical investigation of the influence of twinning/detwinning on fatigue crack initiation in AZ31 magnesium alloy
journal, April 2019

The effect of twin–twin interactions on the nucleation and propagation of twinning in magnesium
journal, June 2013

In situ analysis of deformation twins within a magnesium polycrystal: (II) twin growth
journal, April 2019

Deformation twinning
journal, January 1995

Enhanced deformation mechanisms by anisotropic plasticity in polycrystalline Mg alloys at room temperature
journal, July 2005

Modeling texture, twinning and hardening evolution during deformation of hexagonal materials
journal, April 2007

Quantification of cyclic twinning-detwinning behavior during low-cycle fatigue of pure magnesium using high energy X-ray diffraction
journal, August 2019

An experimental study of cyclic deformation of extruded AZ61A magnesium alloy
journal, May 2011

Fatigue damage development in pure polycrystalline magnesium under cyclic tension–compression loading
journal, September 2011

Characterization and modeling of ${10 \bar{1} 2}$ twin banding in magnesium
journal, January 2020

Low cycle fatigue properties of an extruded AZ31 magnesium alloy
journal, April 2009

Crystal-plasticity finite-element analysis of anisotropic deformation behavior in a commercially pure titanium Grade 1 sheet
journal, April 2017

Twinning–detwinning behavior during fatigue-crack propagation in a wrought magnesium alloy AZ31B
journal, October 2012

First-principles data for solid-solution strengthening of magnesium: From geometry and chemistry to properties
journal, October 2010

Unraveling cyclic deformation mechanisms of a rolled magnesium alloy using in situ neutron diffraction
journal, February 2015

Substitutional solution hardening of magnesium single crystals
journal, April 1972

Continuum modeling of the response of a Mg alloy AZ31 rolled sheet during uniaxial deformation
journal, November 2011

A model for texture development dominated by deformation twinning: Application to zirconium alloys
journal, November 1991

Phenomenological crystal plasticity modeling and detailed micromechanical investigations of pure magnesium
journal, May 2012

Using synchrotron radiation to improve understanding of deformation of polycrystalline metals by measuring, modelling and publishing 4D information
journal, August 2019

{112̄2}〈23〉 Slip system in magnesium
journal, July 1973

A constitutive model of twinning and detwinning for hexagonal close packed polycrystals
journal, October 2012

Modeling the effect of twinning and detwinning during strain-path changes of magnesium alloy AZ31
journal, May 2009

Crystal Plasticity Finite Element Modeling of Extension Twinning in WE43 Mg Alloys: Calibration and Validation
journal, September 2021

Effect of pre-existing twinning on strain localization during deformation of a magnesium alloy
journal, December 2017

Multi-scale mechanisms of twinning-detwinning in magnesium alloy AZ31B simulated by crystal plasticity modeling and validated via in situ synchrotron XRD and in situ SEM-EBSD
journal, August 2019

Three-dimensional investigation of grain boundary–twin interactions in a Mg AZ31 alloy by electron backscatter diffraction and continuum modeling
journal, December 2013

The effects of heat treatment on the response of WE43 Mg alloy: crystal plasticity finite element simulation and SEM-DIC experiment
journal, February 2021